HW9_1 Linearize the model y = a x eP* and solve for the coefficients by hand using the following data 0.2 0.4 0.6 0.9 1.7 0.28 0.1 1.3 1.5 1.8 0.75 1.25 1.45 1.25 0.85 0.55 0.35 0.18
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- The following data on x= maternal age in years of the young birth mothers and y weight of baby born in grams summarizes the result of a study. Assume that a simple linear regression model y = Bo + B1x + e is an appropriate model for the study. x-bar 17 (avg of y-bar 3004.1 x's) (avg of y's) SSXX = 20 SS= 4903 SSyw = 1539182.9 n- 10 Calculate the estimated for Bo and B correct to T WO decimal places. Using your results, predict the average weight of a baby born for a value of x = 18. Enter your answer correct to TWO DECIMAL PLACES.Chapter 9, Section 1, Exercise 002 Use the computer output to estimate the intercept β0 and the slope β1.The regression equation is Y=810-4.84X. Predictor Coef SE Coef T P Constant 810.004 88.04 9.20 0.000 X -4.841 1.587 -3.05 0.006 Intercept β0: Slope β1: Click if you would like to Show Work for t3
- Use multiple linear regression fit of the form y = a + bx₁ + cx₂ for the following data: 1.5 3 3 -1 X₁0 01 2 1 X₂ 0 1 0 1 2 1 2 3 -1 -2 -1.5 -12 -15 17 y 1644To fit a simple linear regression model to the data and to provide its equation (d = a*t + b), along with R2 Day Date Weekday Daily Demand Weekend 1 4/25/2016 Mon 297 0 2 4/26/2016 Tue 293 0 3 4/27/2016 Wed 327 0 4 4/28/2016 Thu 315 0 5 4/29/2016 Fri 348 0 6 4/30/2016 Sat 447 1 7 5/1/2016 Sun 431 1 8 5/2/2016 Mon 283 0 9 5/3/2016 Tue 326 0 10 5/4/2016 Wed 317 0 11 5/5/2016 Thu 345 0 12 5/6/2016 Fri 355 0 13 5/7/2016 Sat 428 1 14 5/8/2016 Sun 454 1 15 5/9/2016 Mon 305 0 16 5/10/2016 Tue 310 0 17 5/11/2016 Wed 350 0 18 5/12/2016 Thu 308 0 19 5/13/2016 Fri 366 0 20 5/14/2016 Sat 460 1 21 5/15/2016 Sun 427 1 22 5/16/2016 Mon 291 0 23 5/17/2016 Tue 325 0 24 5/18/2016 Wed 354 0 25 5/19/2016 Thu 322 0 26 5/20/2016 Fri 405 0 27 5/21/2016 Sat 442 1 28 5/22/2016 Sun 454 1 29 5/23/2016 Mon 318 0 30 5/24/2016 Tue 298 0 31 5/25/2016 Wed 355 0 32 5/26/2016 Thu 355 0 33 5/27/2016 Fri 374 0 34 5/28/2016 Sat 447 1 35 5/29/2016…Consider the linear regression model Y; = Bo + B1 X¡ + U¡ for each i in $10,000) and Y; represents the home size (measured in square feet). We run an OLS regression and get: 1,..., n withn = 1,000. X; represents the annual income of individual i (measured Bin = 43.2, SE(§ „) = 10.2, Bon = 700, SE(Bom) = 7.4. Suppose that we want to test Ho : B1 O against H1 : ß1 # 0 at 1% significance level. Assuming that the sample size is large enough, which one of the following is true about the p-value of this test? 43.2 The p-value can be computed as P(-| ), where is the standard Normal CDF 10.2 а. b. None of the answers 43.2 The p-value can be computed as (- ), where O is the standard Normal CDF 10.2 С. 43.2 d. The p-value can be computed as 20(-- ), where O is the standard Normal CDF 10.2
- Find a and ß by applying linear regression, ya 0.1 0.9 0.5 0.7 0.0588 0.2727 0.3684 0.4576 0.61910.8571 *-- 1 PL an a Η adipitati "ΣΑΥ-ΣΑΣΙ "ΣΑ - (ΣΑΝ AFTA company studying the productivity of its employees on a new information system was interested in determingg if the age (X) of data entry opeertors influenced the number of completed entries made per hour (Y). The regression equation is y = 14.374 - 0.145x Suppose the acyual completed entries per hour for an operator who is 35 years old was 8. The residual is:The following data on x maternal age in years of the young birth mothers and y = weight of baby born in grams summarizes the result of a study. Assume that a simple linear regression model y = Bo + B1x + e is an appropriate model for the study. x-bar = 17 (avg of x's) y-bar = 3004.1 (avg of y's) SSx = 20 SSxy %3D 4903 SSw 1539182.9 n 10 Calculate the value of s-(standard error of regression) and enter the answer to the nearest tenth (1 decimal place).
- The regression model Yi=−303.8+1.5949X1i−0.0699X2i predicts standby hours based on total staff present, X1i, and remote hours, X2i, for week i. The data from which the model was constructed are provided. b. If appropriate, perform the Durbin-Watson test, using α=0.05. Determine the Durbin-Watson statistic.Exercise 4 In this regression we presented the results of the consumption fitted to the income in the period 1980-2005. We divide the data in two periods as 1980-1992 and 1993-2005. Decide if there is a structural change in the consumption-income regression in the two periods. The results for all data are as follows cons = 179 + 0.85 Income RSSfull = 265277 The results for 1980-1992(1) and 1993-2005 (2) are as follows 143 - 0.85 Income RSSfull = 13310 (1) cons = cons = 110 + 0.18 Income RSSfui = 163505 (2) fllQ13) assume the final regression equation from the stepwise regression analysis of the dependent variable cost (C) and the 10 potential independent variables is as follows: C = -5000 + 75 D + 0.4 S - 130 PT + 100 NE Given that the final model is valid, interpret the coefficient of S: On average, with each additional MWe of net capacity, the construction cost _____ while keeping other variables constant. A) decreases by $0.4 B) increases by $400,000 C) increases by $0.4 D) decreases by $400,000